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2 years ago

Pls help me answer this

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

3 0

Answer: 30 cm

Step-by-step explanation:

The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.

From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus $\frac{1}{2}$ the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of $\frac{1}{2} (\frac{22}{7})(10 cm)^2(28 cm) = 4400 cm^3$ .

Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.

The ABKJ is a trapezoid so it's area is $\frac{1}{2}(AJ + BK) \cdot AB$ . Thus the volume of the right prism is $\frac{1}{2}(AJ + BK) \cdot AB \cdot AE$ . This gives us $\frac{1}{2}(28 + 14) \cdot h \cdot 20 = 12600$ , and thus h = 30 cm.

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A cube has a volume of 1000 cubic feet. What us the edge length of the cube?

Ainat [17]

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the side legnth is 10 feet

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3 years ago

Please answer what the answer for ? Is.

vitfil [10]

Answer:

5/8

Step-by-step explanation:

A. 2/3 × 4/5 × m = 1/3 B. 4/5 × 2/3 × m = 1/3

8/15 × m = 1/3 8/ 15 × m = 1/3

m = 1/3 ÷ 8/15 m = 1/3 ÷ 8/15

m = 1/3 ×15/8 m = 1/3 × 15/8

m = 5/8 m = 5/8

C. 2/3 × 4/5 = 1/3 ÷ m

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4 0

3 years ago

Find the point on the plane 4x+3y+z=10 that is nearest to (2,0,1). What are the values of x, y, and z for the point? x= 28 /

MariettaO [177]

Answer:

$\frac{1}{\sqrt{26}}$ .

Step-by-step explanation:

The minimun distance between a point and a plane is the perpendicular distance. The formula is

d = $\frac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^{2}+B^{2}+C^{2}}}$

where $(x_0,y_0,z_0)=(2,0,1)$ , A=4, B=3, C=1 and D=-10. So, the distance is

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d = $\frac{1}{\sqrt{26}}$ .

4 0

3 years ago

Evaluate the following expressions if a = 2, b = 3, x = 4, and y = 5.<br> b^2+3(2x-y)

butalik [34]

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------

<h2 /><h2>Answer: 18</h2><h2>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</h2><h2 />

First we need to substitute the value of the variable into the expression.

$b^{2}+3(2x-y)$ = $3^{2} + 3 (2(4)-5)$ .

Now we need to solve $3^{2} + 3 (2(4)-5)$ .

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$3^{2} + 3 (2(4)-5)$

First, calculate 3 to the power of 2 and get 9.

$9+3(2\times 4-5)=18$

Multiply 2 and 4 to get 8.

$9+3(8-5) =18$

Subtract 5 from 8 to get 3.

$9+3\times 3 =18$

Multiply 3 and 3 to get 9.

$9+9 =18$ .

<h2>And the answer is, you guessed it, 18!</h2>

7 0

3 years ago

PLEASE HELP

Licemer1 [7]

Answer:

35 dimes and 60 nickels

Step-by-step explanation:

let d = # of dimes and n = # of nickels

We know that Timmy has a total of 95 coins, consisting of dimes and nickels

So d + n = 95

The total value of his bank is $6.50

A dime is worth $0.10 and a nickel is work $0.05

So 0.10d + 0.05n = $6.50

Note that we've just created a system of equations that we can solve

We have the two equations

0.10d + 0.05n = 6.50 and d + n = 95

There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.

First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.

d + n = 95

- subtract d from both sides -

n = 95 - d

We now defined "n"

Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.

0.10d + 0.05n = 6.50

n = 95 - d

0.10d + 0.05(95 - d) = 6.50

we now solve for d

0.10d + 0.05(95 - d) = 6.50

step 1 distribute the 0.05

0.05 * 95 = 4.75 and 0.05 * -d = -0.05d

0.10d + 4.75 - 0.05d = 6.50

step 2 combine like terms 0.10d - 0.05d = 0.05d

0.05d + 4.75 = 6.50

step 3 subtract 4.75 from both sides

0.05d = 1.75

step 4 divide both sides by 0.05

0.05d / 0.05 = d and 1.75 / 0.05 = 35

d = 35

Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )

d + n = 95

d = 35

35 + n = 95

subtract 35 from both sides

n = 60

We can conclude that he has 35 dimes and 60 nickels

4 0

2 years ago